Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 513, 184, 815, 345 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 184, 815, 345 is 1
GCD(513, 184, 815, 345) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 184, 815, 345 is 1
GCD(513, 184, 815, 345) = 1
Given Input numbers are 513, 184, 815, 345
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 815
List of positive integer divisors of 815 that divides 815 without a remainder.
1, 5, 163, 815
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Greatest Common Divisior
We found the divisors of 513, 184, 815, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 184, 815, 345 is 1.
Therefore, GCD of numbers 513, 184, 815, 345 is 1
Given Input Data is 513, 184, 815, 345
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 184 is 2 x 2 x 2 x 23
Prime Factorization of 815 is 5 x 163
Prime Factorization of 345 is 3 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(513, 184) = 94392
GCD(513, 184) = ( 513 x 184 ) / 94392
GCD(513, 184) = 94392 / 94392
GCD(513, 184) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 815
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 815) = 815
GCD(1, 815) = ( 1 x 815 ) / 815
GCD(1, 815) = 815 / 815
GCD(1, 815) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 345
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 345) = 345
GCD(1, 345) = ( 1 x 345 ) / 345
GCD(1, 345) = 345 / 345
GCD(1, 345) = 1
GCD of 513, 184, 815, 345 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 184, 815, 345?
GCD of 513, 184, 815, 345 is 1
2. Where do I get the detailed procedure to find GCD of 513, 184, 815, 345?
You can find a detailed procedure to find GCD of 513, 184, 815, 345 on our page.
3. How to find GCD of 513, 184, 815, 345 on a calculator?
You can find the GCD of 513, 184, 815, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.